Research reveals inequalities in Bochner curvature tensor on compact locally conformal Kähler manifolds, suggesting new insights in geometry.
On a compact locally conformal Kähler manifold (which is also Gauduchon) satisfying an Einstein-type condition, an inequality between the integrations of Chern forms and the Bochner curvature tensor is proved. While on a compact Gauduchon surface, two similar inequalities are derived.
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Jieming Yang (2026) studied this question.
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